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Finding the Third Proportional to 13,413.94 and 18,217.88

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Solution

The third proportional to 13,413.94 and 18,217.88 is: 24,742.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,413.94 : 18,217.88 = 18,217.88 : x
  2. Step 2: Convert to fraction form
    13,413.94/18,217.88 = 18,217.88/x
  3. Step 3: Cross multiply
    13,413.94x = 18,217.88 × 18,217.88
  4. Step 4: Simplify right side
    13,413.94x = 331,890,969.52
  5. Step 5: Solve for x
    x = 331,890,969.52/13,413.94
  6. Step 6: Final answer
    x = 24,742.25

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.